Geodesic
A Proof of the Hardy-Littlewood Theorem on Fractional Integration and a Generalization
Publications de l'Institut Mathématique, _N_S_59 (1996) no. 73, p. 31

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Zbl

We give an elementary proof of the Hardy-Littlewood theorem and extend it to a class of smooth functions on the unit ball. As a special case we prove the validity of this theorem in the class of polyharmonic function.
Classification : 30D55 31B30
Keywords: Fractional integral, Integral means, Polyharmonic functions 
Miroslav Pavlović. A Proof of the Hardy-Littlewood Theorem on Fractional Integration and a Generalization. Publications de l'Institut Mathématique, _N_S_59 (1996) no. 73, p. 31 . http://geodesic.mathdoc.fr/item/PIM_1996_N_S_59_73_a3/
@article{PIM_1996_N_S_59_73_a3,
     author = {Miroslav Pavlovi\'c},
     title = {A {Proof} of the {Hardy-Littlewood} {Theorem} on {Fractional} {Integration} and a {Generalization}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {31 },
     year = {1996},
     volume = {_N_S_59},
     number = {73},
     zbl = {0944.31007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1996_N_S_59_73_a3/}
}
TY  - JOUR
AU  - Miroslav Pavlović
TI  - A Proof of the Hardy-Littlewood Theorem on Fractional Integration and a Generalization
JO  - Publications de l'Institut Mathématique
PY  - 1996
SP  - 31 
VL  - _N_S_59
IS  - 73
UR  - http://geodesic.mathdoc.fr/item/PIM_1996_N_S_59_73_a3/
LA  - en
ID  - PIM_1996_N_S_59_73_a3
ER  - 
%0 Journal Article
%A Miroslav Pavlović
%T A Proof of the Hardy-Littlewood Theorem on Fractional Integration and a Generalization
%J Publications de l'Institut Mathématique
%D 1996
%P 31 
%V _N_S_59
%N 73
%U http://geodesic.mathdoc.fr/item/PIM_1996_N_S_59_73_a3/
%G en
%F PIM_1996_N_S_59_73_a3